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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 380

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.91.

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The machine reads it as

  1. HIIIIII
  2. 380
  3. PHITLOSOPMIIA NATDRALIS
  4. D Morvi ad diameerum AB uE 100 ad FOL: graritas in loco in PClta
  5. dLSTEM A X.
  6. foret ad graritacem in eodem loco in Sphaeram centro C. radio
  7. FCvel DC descriptam, ut 126 ad 125. Fc eodem argumento
  8. oraritas in loco in Sphaeroidem, convolutione KIllip(eos AP BC
  9. circa axem AB delcripram, est ad gravicatem in eodem loco s MM
  10. Sphaeram centro C radio AC descriptam, uc 125 ad 126. FI au-
  11. tem gravitas in loco A in Terram, media proporrionalis inter
  12. oraricates in dictam Sphaeroidem et Sphaeram: propterca quod
  13. Sphaera, diminuendo diamerrum P O in ratione TO1 2d 100,
  14. vertitur in Aguram Perrx; de haec figura diminuendo in cadem
  15. per
  16. ratione diamerrum certiam, quae diametris duabus AB, F C
  17. pendicularis est, vertitur in dictam Sphaeroidem; ex graritas in
  18. A, in calu utroque, diminuitur in eadem ratione quam proxime.
  19. FA igitur graritas in A in SphXrAM CCNErO
  20. C radio AC delcripeam, ad gravitacem in
  21. A in Terram UE 126 2d 12523 ec gravitas
  22. in loco e in Sphaeram centro C radio C
  23. descrixeam, est ad gravicacem in loco A in
  24. Sphaeram centro C radio AC descriptam
  25. in ratione diaWCtrOrUIM (pEF PEOP. LXZII.
  26. L ib. L.) id CA, uc 100 ad IOr. Conjungan-
  27. cur jam hxe cres rationes, 126 ad 125, 120
  28. 2d 1252, ec 100 ad 1OT: dE Het gravitas
  29. in loco in Terram, ad graricarem in loco A in Terram, ut
  30. F26X 126Z 100 24 125Z +25=X FOT, CCu ut 5OI ad 500.
  31. Jam cum (per Corol. 3. Prop. Xer. Lib. I.) gravicas in canalio
  32. crure vtrovis ACca vel QCcg sc ut distantia locorum a CenErO
  33. Terrae; E crura illa superticiebus trantrersis ex requidistantibus di-
  34. singuantur in parces toris proportionales, erunt pondera partium
  35. Lingularum in crure ACca ad pondera parcium coridem in crure
  36. oItero, ut magnicudines et graritates acceleraerices conjunctim; id
  37. est _F TOT 2d 100 8 500 ad GOT, hoc CA, ut 505 2d 501. AC
  38. proinde s vis centrifusa partis cujulque in crure ACc a ex moru
  39. diurno oriunda, fuisset ad pondus partis ejusdem ut 4 ad 505, eo
  40. uc de pondere parcis cujusque, in partes 505 diriso, partes qua-
  41. cuor detraheret; manerene pondera in utroque crure aequalia, de
  42. oropterca Auidum consittoree in requilibrio. Verum vis cenerifuor
  43. parris cujusque est ad pondus ejuldem uc 1 ad 289, hoc est, vis
  44. contritusa quxe deberet esse ponderis pars, 5, CA TanEuM PATS Ly

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 380. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0414?run=74